Scholarship and teaching related sources relating to mathematical sciences, recommended by colleagues at the University of Bath. Contributions welcome.
Mathematics Education is an established field with a large amount of research and theoretical work, as well as a large body of case studies, practical tips and advice. On the practical side you can find books and guides written by mathematicians in the context and language of maths. On the research/theory side, there is a body of work providing frameworks and models on mathematical thinking, learning mathematics, and specific issues such as proof.
MSOR Subject Centre: there are a number of good resources from the (now closed) Maths, Stats and OR subject centre (MSOR), written specifically for academics (archived: www.icse.xyz/mathstore/). The MSOR magazine (Connections) contained a large number of case studies of specific teaching topics, technologies, investigations and projects. Most resources are now on the HEA’s resource hub (www.heacademy.ac.uk). (more…)
Dr Euan Spence, from the Department of Mathematical Sciences at the University of Bath, discusses the need for new undergraduates to learn how to write mathematics, words as well as equations.
Dr Euan Spence, from the Department of Mathematical Sciences at the University of Bath, discusses the challenge for new undergraduates of learning proofs from a maths course, and teaching the central idea of the proof as a key stage.
This is the second of two posts introducing some of the background ideas to consider when looking at the transition to university mathematics. The first post focused on the transition and the specific problems and issues frequently noted for mathematics. This post discusses some aspects/models of advanced mathematics at university which are particularly relevant to these issues. (more…)
This is the first of two posts shared to introduce some of the background and theoretical ideas to consider regarding the transition to university mathematics, as well as provide an insight and links to some of the literature and scholarship in this area.
This post focuses on the transition and the specific problems and issues frequently noted for mathematics. The second post discusses some aspects/models of advanced mathematics at university which are particularly relevant to these issues. (more…)
This case study from Mathematical Sciences, is part of a series providing short summaries of some of the different good practice models and approaches taken to department level support for graduate teaching assistants (GTAs).
The Department of Mathematical Sciences has a long running internal programme for the training and development of very large numbers of postgraduate as maths tutors, set up and taught by Geoff Smith.
1. September (and January if necessary): one day in-house induction covering (inter alia)
- Housekeeping aspects of tutorials.
- Policy on purpose of tutorials.
- Marking and feedback to undergraduate students.
- Exposition technique, and the use of the board, chalk/pen and voice.
- How to report students who are losing their way.
- How to prepare for a tutorial.
- Keeping an appropriate social distance from first year undergraduates.
- How to get paid.
- Many maths postgraduate students have an international background. We discuss the traditions and expectations UK universities (which can be very different from overseas institutions).
2. Observations: all tutors are observed by a members of staff every year. A record is made of any clear development needs of the tutor and action taken. A confidential report is also given to the tutor which can therefore be very frank.
3. Undergraduate students fill in feedback forms concerning the quality of their tutorials. Action is taken when there is a significant problem.
If you would like more information, contact the Directors of Studies/Teaching in the department. Support for setting up or reviewing your own department’s support for GTAs, along with further information on the University level support and development and can be obtained from the Centre for Learning and Teaching (contact firstname.lastname@example.org).
Dr Kit Yates from the Department of Mathematical Sciences at the University of Bath reflects on his experience of using iPads in mathematics lectures as part of a trial to provide his pros and cons for their use.
Dr Kit Yates from the Department of Mathematical Sciences at the University of Bath describes how he recorded his working through problem solutions on a tablet as an online resource to replicate some of the advantages of the live session over the solution sheet.
Dr Kit Yates from the Departmental of Mathematical Sciences at the University of Bath discusses how and why he changed his mathematical biology problem classes to focus more on the act of coding, inspired by a combination of flipping and apprentice model approaches.